448044440844 has 192 divisors, whose sum is σ = 1441601989632. Its totient is φ = 104519808000.

The previous prime is 448044440803. The next prime is 448044440927.

448044440844 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 448044440793 and 448044440802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59607 + ... + 948494.

It is an arithmetic number, because the mean of its divisors is an integer number (7508343696).

Almost surely, 2^448044440844 is an apocalyptic number.

448044440844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448044440844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720800994816).

448044440844 is an abundant number, since it is smaller than the sum of its proper divisors (993557548788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

448044440844 is a wasteful number, since it uses less digits than its factorization.

448044440844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008176 (or 1008174 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

Multiplying 448044440844 by its sum of digits (48), we get a palindrome (21506133160512).

It can be divided in two parts, 448044 and 440844, that added together give a palindrome (888888).

The spelling of 448044440844 in words is "four hundred forty-eight billion, forty-four million, four hundred forty thousand, eight hundred forty-four".